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Finding the Fourth Proportional to 456.68, 687.98 and 451.01

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Solution

The fourth proportional to 456.68, 687.98 and 451.01 is: 679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 687.98 = 451.01 : x
  2. Step 2: Convert to fraction form
    456.68/687.98 = 451.01/x
  3. Step 3: Cross multiply
    456.68x = 687.98 × 451.01
  4. Step 4: Simplify right side
    456.68x = 310,280.16
  5. Step 5: Solve for x
    x = 310,280.16/456.68
  6. Step 6: Final answer
    x = 679.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.